Mellin transform solution for electrostatic field from a line charge in a slotted hollow wedge

Abstract

Electrostatic field from a line charge in a slotted, hollow wedge is investigated using the Mellin transform and mode matching. In order to obtain a rigorous and fast convergent series solution, an eigenfunction expansion and residue calculus are applied to the electrostatic boundary-value problem. As a result, the potential fields in the regions of interest are represented by a series formula. Numerical computations are performed to assess the field behavior in terms of wedge geometry and material parameters. Our theoretical results are also compared with the results by a commercial software package to check the validity of the derived series.

Keywords:

• electrostatic field
• Mellin transform
• mode matching
• wedge

Acknowledgments

This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2011-0009815).